Zeros of solutions of certain higher order linear differential equations
Hong-Yan Xu ; Cai-Feng Yi
Annales Polonici Mathematici, Tome 98 (2010), p. 123-136 / Harvested from The Polish Digital Mathematics Library
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We investigate the exponent of convergence of the zero-sequence of solutions of the differential equation f(k)+ak-1(z)f(k-1)+⋯+a₁(z)f'+D(z)f=0, (1) where D(z)=Q₁(z)eP₁(z)+Q₂(z)eP₂(z)+Q₃(z)eP₃(z), P₁(z),P₂(z),P₃(z) are polynomials of degree n ≥ 1, Q₁(z),Q₂(z),Q₃(z),aj(z) (j=1,..., k-1) are entire functions of order less than n, and k ≥ 2.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:280312 
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     author = {Hong-Yan Xu and Cai-Feng Yi},
     title = {Zeros of solutions of certain higher order linear differential equations},
     journal = {Annales Polonici Mathematici},
     volume = {98},
     year = {2010},
     pages = {123-136},
     zbl = {1192.34103},
     language = {en},
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Hong-Yan Xu; Cai-Feng Yi. Zeros of solutions of certain higher order linear differential equations. Annales Polonici Mathematici, Tome 98 (2010) pp. 123-136. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-2/